000			02560nam a22003137a 4500
999			_c58629 _d58629
005			20211130113232.0
008			211130b ||||| |||| 00| 0 eng d
020			_a9781470437220
028			_a:Variety Books Publishers & Distributors _b:B-10 Street No 2 West Vinod Nagar Delhi 110092 _c:IM2893 _d:25/11/2021
082			_a511.55 BRU
100			_aBrualdi, Richard A.
245			_aThe Mutually Beneficial Relationship of Graphs and Matrices _c/ Richard A Brualdi
260			_aNew Delhi _b:University Press _c2017
300			_aix, 96 pages : illustrations _c ; 26 cm.
365			_b985
490			_aRegional conference series in mathematics, no. 115.
505			_aMachine generated contents note: 1.1.Nonnegative Matrices -- 1.2.Symmetric Matrices -- Bibliography -- 2.1.Some Basic Properties -- 2.2.Eigenvalues and Graph Parameters -- 2.3.Graphs with small Amax -- 2.4.Laplacian Matrix of a Graph -- Bibliography -- 3.1.Rado-Hall Theorem -- 3.2.Applications -- Bibliography -- 4.1.Motivation and Definition -- 4.2.Colin de Verdiere Number and Graph Properties -- Bibliography -- 5.1.Equivalent Formulations -- 5.2.The Classes A(R, S) -- 5.3.A Generalization -- Bibliography -- 6.1.Sign-Nonsingular Matrices -- 6.2.An Application -- 6.3.Spectrally Arbitrary Sign Patterns -- Bibliography -- 7.1.Some Classical Theorems -- 7.2.Diagonal Products and Nonsingularity -- Bibliography -- 8.1.Landau's Theorem -- 8.2.A Special Tournament in T(R) -- 8.3.Eigenvalues of Tournament Matrices -- Bibliography -- 9.1.The Doubly Stochastic Polytope -- 9.2.Alternating Sign Matrices -- 9.3.The Alternating Sign Matrix Polytope -- 9.4.ASM Patterns -- Bibliography Note continued: 10.1.(0, 1)-matrices with all Eigenvalues Positive -- 10.2.Totally Nonnegative Matrices -- 10.3.Totally Nonnegative (0, 1)-matrices -- Bibliography
520			_aGraphs and matrices enjoy a fascinating and mutually beneficial relationship. This interplay has benefited both graph theory and linear algebra. This is not a comprehensive study of graphs and matrices, instead the contributions have been chosen for their accessibility, beauty, and current relevance, and for the possibility of enticing the audience to want to learn more
650			_aMathematics
650			_aGeneral principles of mathematics
650			_aMatrices.
650			_aGraph theory.
650			_aAlgebras, Linear.
650			_aCombinatorial analysis.
650			_aMatrix
650			_aNumber Theory
700			_aBrualdi, Richard A.
942			_cMDL